Automatic generation of hyperbolic drawings

DOI10.1016/j.amc.2018.09.052zbMath1428.30049OpenAlexW2903497685WikidataQ128850476 ScholiaQ128850476MaRDI QIDQ2008551

Xinchang Wang, Kwok-wai Chung, Robert W. Fathauer, Peichang Ouyang

Publication date: 26 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.09.052

zbMATH Keywords

conformal mappinghyperbolic geometrysymmetry groupcircle limit I-IV

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) General theory of conformal mappings (30C35) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Elementary problems in hyperbolic and elliptic geometries (51M09) Quasiconformal methods in holomorphic dynamics; quasiconformal dynamics (37F31)

Related Items (1)

Generation of Escher‐like spiral drawings in a modified hyperbolic space

Cites Work

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• Hyperbolic symmetries from dynamics
• Aesthetic patterns with symmetries of the regular polyhedron
• Orbit trap rendering methods for generating colorful symmetric images in three-dimensional space
• The trigonometry of Escher's woodcut Circle Limit III
• TESSELLATIONS WITH SYMMETRIES OF THE TRIANGLE GROUPS FROM DYNAMICS

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